Hypercyclic subspaces for sequences of finite order differential operators

It is proved that, if is a sequence of polynomials with complex coefficients having unbounded valences and tending to infinity at sufficiently many points, then there is an infinite dimensional closed subspace of entire functions, as well a dense -dimensional subspace of entire functions, all of who...

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Autores: Bernal González, Luis, Calderón Moreno, María del Carmen, López Salazar, J., Prado Bassas, José Antonio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/172993
Acceso en línea:https://hdl.handle.net/11441/172993
https://doi.org/10.1016/j.jmaa.2025.129257
Access Level:acceso abierto
Palabra clave:Differential operator of finite orderHypercyclic sequence of operatorsMaximal dense lineabilitySpaceabilityPointwise lineability
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spelling Hypercyclic subspaces for sequences of finite order differential operatorsBernal González, LuisCalderón Moreno, María del CarmenLópez Salazar, J.Prado Bassas, José AntonioDifferential operator of finite orderHypercyclic sequence of operatorsMaximal dense lineabilitySpaceabilityPointwise lineabilityIt is proved that, if is a sequence of polynomials with complex coefficients having unbounded valences and tending to infinity at sufficiently many points, then there is an infinite dimensional closed subspace of entire functions, as well a dense -dimensional subspace of entire functions, all of whose nonzero members are hypercyclic for the corresponding sequence of differential operators. In both cases, the subspace can be chosen so as to contain any prescribed hypercyclic function.ElsevierAnálisis MatemáticoFQM127: Análisis Funcional no Lineal2025info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/172993https://doi.org/10.1016/j.jmaa.2025.129257reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Mathematical Analysis and Applications, 546 (1), 129257-1.https://doi.org/10.1016/j.jmaa.2025.129257info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1729932026-06-17T12:51:07Z
dc.title.none.fl_str_mv Hypercyclic subspaces for sequences of finite order differential operators
title Hypercyclic subspaces for sequences of finite order differential operators
spellingShingle Hypercyclic subspaces for sequences of finite order differential operators
Bernal González, Luis
Differential operator of finite orderHypercyclic sequence of operatorsMaximal dense lineabilitySpaceabilityPointwise lineability
title_short Hypercyclic subspaces for sequences of finite order differential operators
title_full Hypercyclic subspaces for sequences of finite order differential operators
title_fullStr Hypercyclic subspaces for sequences of finite order differential operators
title_full_unstemmed Hypercyclic subspaces for sequences of finite order differential operators
title_sort Hypercyclic subspaces for sequences of finite order differential operators
dc.creator.none.fl_str_mv Bernal González, Luis
Calderón Moreno, María del Carmen
López Salazar, J.
Prado Bassas, José Antonio
author Bernal González, Luis
author_facet Bernal González, Luis
Calderón Moreno, María del Carmen
López Salazar, J.
Prado Bassas, José Antonio
author_role author
author2 Calderón Moreno, María del Carmen
López Salazar, J.
Prado Bassas, José Antonio
author2_role author
author
author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM127: Análisis Funcional no Lineal
dc.subject.none.fl_str_mv Differential operator of finite orderHypercyclic sequence of operatorsMaximal dense lineabilitySpaceabilityPointwise lineability
topic Differential operator of finite orderHypercyclic sequence of operatorsMaximal dense lineabilitySpaceabilityPointwise lineability
description It is proved that, if is a sequence of polynomials with complex coefficients having unbounded valences and tending to infinity at sufficiently many points, then there is an infinite dimensional closed subspace of entire functions, as well a dense -dimensional subspace of entire functions, all of whose nonzero members are hypercyclic for the corresponding sequence of differential operators. In both cases, the subspace can be chosen so as to contain any prescribed hypercyclic function.
publishDate 2025
dc.date.none.fl_str_mv 2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/172993
https://doi.org/10.1016/j.jmaa.2025.129257
url https://hdl.handle.net/11441/172993
https://doi.org/10.1016/j.jmaa.2025.129257
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Mathematical Analysis and Applications, 546 (1), 129257-1.
https://doi.org/10.1016/j.jmaa.2025.129257
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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